Question

read the story.
zack planted an assortment of tulip bulbs in his garden. half of them were pink tulips. this morning, he noticed that 3 of the tulips had started to sprout. how likely is it that all of them will be pink?
which simulation could be used to fairly represent the situation?
create a spinner with 3 equal sections. color 1 section pink and 2 sections white. spin the spinner 2 times. each time the spinner lands on the pink section, it represents a pink tulip.
flip a coin 3 times. each time the coin lands on heads, it represents a pink tulip.
roll a six - sided die 3 times. each time a 1 or 2 appears, it represents a pink tulip.

Explanation:

The probability of a tulip being pink is \( \frac{1}{2} \). A coin - flip has two equally likely outcomes (heads and tails), with each outcome having a probability of \( \frac{1}{2} \). Flipping a coin 3 times (since 3 tulips sprouted) and using heads to represent a pink tulip is a fair simulation as it matches the \( \frac{1}{2} \) probability of a tulip being pink.

• For the spinner: The probability of landing on pink is \( \frac{1}{3}

eq\frac{1}{2} \).

• For the die: The probability of getting a 1 or 2 (to represent pink tulip) is \( \frac{2}{6}=\frac{1}{3}

eq\frac{1}{2} \).

Answer:

Flip a coin 3 times. Each time the coin lands on heads, it represents a pink tulip.